Geometry: Fundamental Concepts and Applications / Edition 1

by Alan Bass

Overview

This Geometry workbook makes the fundamental concepts of geometry accessible and interesting for college students and incorporates a variety of basic algebra skills in order to show the connection between Geometry and Algebra.

Topics include:

A Brief History of Geometry

1. Basic Geometry Concepts

2. More about Angles

3. Triangles

4. More about Triangles: Similarity and Congruence

5. Quadrilaterals

6. Polygons

7. Area and Perimeter

8. Circles

9. Volume and Surface Area

10. Basic Trigonometry

Product Details

ISBN-13:	9780321473318
Publisher:	Pearson Education
Publication date:	04/19/2007
Edition description:	New Edition
Pages:	176
Product dimensions:	20.00(w) x 9.90(h) x 0.40(d)

About the Author

Alan Bass earned his Master of Science degree in Mathematics from the University of North Carolina at Wilmington. Presently, he lives, writes, runs, swims, bikes, hikes, and plays music with his wife Holly in sunny San Diego, CA. (He also enjoys fine wine and all things nerdy). He is an Associate Professor of Mathematics at San Diego Mesa College (just got tenure) and has been teaching developmental math for more than ten years. He is a big advocate for math study skills so, through a grant project called Pathways through Algebra, he got into networking with other schools to make study skills programs happen. He has worked on developing learning communities, establishing curriculum and pedagogy for study skills classes, and methods for incorporating study skills directly into the classroom. He has created and accumulated a ton of material, and wants to share it with you! For more information, check out his website at http://www.pearsonhighered.com/alanbass/index.html .

Table of Contents

H. A Brief History of Geometry

1. Basic Geometry Concepts

• An Overview of this Supplement
• Points, Lines, and Planes
• Between Points
• Congruent Objects and Bisectors
• Solving Word Problems in Geometry
• Construction Example: Using a Straight-Edge and Compass to Bisect a Line Segment
• Geometry Project #1: The History of Geometry

2. More about Angles

• Measuring and Classifying Angles
• Notation for Angle Measure and Congruence
• Common Relationships Between Angles
• Complementary and Supplementary
• Parallel Lines Cut by a Transversal
• Construction Example: Using a Straight Edge and Compass to Bisect an Angle
• Geometry Project #2: Proofs in Geometry

3. Triangles

• The Practical Nature of Triangles
• Classifying Triangles
• The Angles of a Triangle
• Right Triangles: The Pythagorean Theorem
• Comparing the Sides and Angles of a Triangle
• Geometry Project #3: Proofs in Geometry

4. More about Triangles: Similarity and Congruence

• Congruent Triangles
• Congruence Theorems
• Similar Triangles
• Special Right Triangles
• Geometry Project #4: Finding the Height of a Building

5. Quadrilaterals

• Classifying Quadrilaterals
• The Angles of a Quadrilateral
• Diagonals
• Geometry Project #5: Quadrilaterals and Bisectors

6. Polygons

• Identifying and Classifying Polygons
• Theorems about Polygons
• Geometry Project #6: The Area of a Regular Hexagon

7. Area and Perimeter

• Perimeter
• Area
• Derived Area Formulas
• More Complex Shapes
• Geometry Project #7: Your Dream House

8. Circles

• Definitions and Terminology
• Area and Circumference
• Arc Length and Sectors
• Geometry Project #8: Proofs in Geometry

9. Volume and Surface Area

• Volume Formulas for the Cube, Rectangular Solid, Cylinder, and Prism
• The Sphere
• Cones and Pyramids
• Surface Area
• Geometry Project #9: Approximating Volumes

10. Basic Trigonometry

• Terminology Associated With Ratios in a Right Triangle
• Finding Unknown Values
• Trigonometric Ratio Values for Special Triangles
• Geometry Project #10: Trig Meets World